On permeable potential boundary conditions for the Laplace-Beltrami operator

DOI10.1134/S0037446615060099zbMath1338.35125OpenAlexW2213614788MaRDI QIDQ259833

Durvudkhan Suragan, Tynysbek Sh. Kal'menov

Publication date: 18 March 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446615060099

zbMATH Keywords

Laplace-Beltrami operatorboundary conditiondouble layer potentialvolume potential

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Boundary conditions for the Cauchy potential for two-dimensional hyperbolic equations ⋮ On the symmetry of the boundary conditions of the volume potential ⋮ Regular boundary value problems for the heat equation with scalar parameters ⋮ Trace formulae for the heat-volume potential of the time-fractional heat equation ⋮ On trace formulae of the generalised heat potential operator

Cites Work

• To spectral problems for the volume potential
• Dynamics of vorticity at a sphere
• On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain
• Point vortex motion on a sphere with solid boundaries
• Analytical solutions for distributed multipolar vortex equilibria on a sphere
• Boundary Integral Equations for the Laplace-Beltrami Operator
• Stuart vortices on a sphere
• Point vortex motion on the surface of a sphere with impenetrable boundaries
• Unnamed Item

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